HOMOTOPY TYPE THEORY: UNIFIED FOUNDATIONS OF MATHEMATICS AND COMPUTATION

Abstract

In this MURI proposal, the team proposes to investigate a new constructive type theory with the following research subareas: formalized mathematics for scientific or engineering tools; new foundations of mathematics that is completely different from the conventional setting; new proof assistants for theorem proving or formal verification that is less mechanistic and closer to human s understanding; code reuse and data type-generic programming to facilitate construction and maintenance of software.

Document Details

Document Type
DoD Grant Award
Publication Date
Mar 23, 2016
Source ID
FA95501510053

Entities

People

  • Steve Awodey

Organizations

  • Air Force Office of Scientific Research
  • Massachusetts Institute of Technology
  • United States Air Force

Tags

Fields of Study

  • Mathematics

Readers

  • Mathematical Modeling and Probability Theory.
  • Research Science/Academic Research